In a dilation, corresponding sides of similar triangles are proportional to each other by the same scale factor. Since ΔABC was dilated from the origin to form ΔA'B'C', the corresponding sides will maintain the relationship defined by the scale factor.
In this case, the sides of triangle ΔABC will be proportional to the corresponding sides of triangle ΔA'B'C'.
Thus:
- Side BC (from ΔABC) would be proportional to side B'C' (from ΔA'B'C').
Therefore, the correct statement is:
Side BC is proportional to side B'C'.